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Geother: A Geometry Theorem Prover

机译:地热:几何定理先驱

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摘要

GEOTHER (acronym for GEOmetry THeorem provER) is a package implemented in Maple for manipulating and proving geometric theorems. Its kernel consists of six algebraic provers based on the methods of characteristic sets and Groebner bases and an elimination method proposed by the author. GeOTHER has several new features in comparison with other geometry theorem provers (2) developed on the basis of algebraic approaches (see (3) for a comprehensive list of references). In addition to maintaining environment flexibility, high automation is achieved in our package to increase its usability and geometric attraction via transaltion drawing and graphic interface. The provers are practically efficient: a number of difficult theorems including Morely's trisector theorem, Thebault's recently confirmed conjecture and MacLane's non-existence of real 8_3 configuration have been proved by them in the matter of seconds. In this report we briefly describe some features and capabilities of the package.
机译:附近(几何定理先词的首字母缩略词)是一种在枫木中实现的包,用于操纵和证明几何定理。其内核由六个代数普通的六种代数,基于特征集和Groebner基地的方法和作者提出的消除方法。与基于代数方法开发的其他几何理理普罗维者(2)相比,地区有几个新功能(参见(3)用于综合参考文献列表)。除了维护环境灵活性外,我们的包装中实现了高自动化,以通过Transaltion绘图和图形界面提高其可用性和几何吸引力。普通的实际有效:在几秒钟内,他们已经证明了许多困难的定理,包括难道的三角师定理,包括难道的三角形定理,贝加最近确认的猜想和麦克兰的不存在的真实8_3配置。在本报告中,我们简要介绍了包装的一些功能和能力。

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